PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

406 Practical MATLAB® Applications for Engineers

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The int(exp(-2*t)^2*u(t)) from t=0 to inf is =

1/4

ans =

.25000000000000000000000000000000

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The sym Fourier transform

of(exp(-2*t)*u(t)) is=

FT =

1/(2+i*w)

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The sym Laplace transform

of(exp(-2*t)*u(t) is=

LT =

1/(s+2)

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− 2 −1.5 − 1 −0.5 0 0.5 1 1.5 2

time (in sec)

− 2 −1.5 − 1 −0.5 0 0.5 1 1.5 2

time (in sec)

−0.5

0

0.5

1

−0.5

0

0.5

1

Amplitude

Amplitude

exp(-2*t)*u(t) versus t

[exp(-2*t)*u(t )]^2 versus t

FIGURE 4.52
Symbolic plots of part 4 of Example 4.9.